What 2 square numbers subtract to make 197?

What two square numbers subtract to make 197? In other words, when you subtract one square number from another square number, the answer is 197. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 197

We solved the equation above and found this to be true:

99² - 98² = 197

99² is 9801 and 98² is 9604, therefore the answer to the question "What 2 square numbers subtract to make 197?" is 9801 and 9604 as illustrated below:

9801 - 9604 = 197

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 197. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 198?
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